If the angles of a triangle are in the ratio \( 4: 1: 1 \), then th...

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If the angles of a triangle are in the ratio \( 4: 1: 1 \), then the ratio of the longest side to the perimeter is
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(a) \( \sqrt{3}:(2+\sqrt{3}) \)
\( (2003,1 \mathrm{M}) \)
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(c) \( 1: 2+\sqrt{3} \)
(b) \( 1: 3: 2 \)
(d) \( 2: 3 \)
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